In this thesis we give a brief introduction to arithmetics of prime fields. These are very attractive for software-based implementations of cryptosystems such as those based on the difficulty of the discrete logarithm on elliptic curves. The main topic of this thesis are efficient implementations of arithmetics on elliptic curves over prime fields. We focus on efficient scalar multiplication of points on elliptic curves using point addition and point doubling. We also discus design, implementation, optimization and performance analysis of used algorithms
In most algorithms involving elliptic curves, the most expensive part consists in computing multiple...
Efficient and secure public-key cryptosystems are essential in today’s age of rapidly growing Intern...
In this report we study the problem of counting the number of points on an elliptic curve over a fin...
In this thesis we give a brief introduction to arithmetics of prime fields. These are very attractiv...
In this thesis, we are interested in the problem of implementing point multiplication by a scalar on...
In this thesis, we are interested in the problem of implementing point multiplication by a scalar on...
Efficient implementation of elliptic curve cryptography can be targeted at 2 levels, specifically on...
Efficient implementation of elliptic curve cryptography can be targeted at 2 levels, specifically on...
Elliptic curve cryptosystem (ECC) is being used nowadays more than ever to fulfill the need for pu...
Abstract-Since the inception of elliptic curve cryptography by Koblitz [1] and Miller [2] for implem...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
We describe new fast algorithms for multiplying points on elliptic curves over finite fields of char...
Abstract. We present a new hardware architecture to compute scalar multiplications in the group of r...
The subject of the thesis at hand is the description of an efficient algorithm for finding an ellipt...
The technology of elliptic curve cryptography is now an important branch in public-key based crypto-...
In most algorithms involving elliptic curves, the most expensive part consists in computing multiple...
Efficient and secure public-key cryptosystems are essential in today’s age of rapidly growing Intern...
In this report we study the problem of counting the number of points on an elliptic curve over a fin...
In this thesis we give a brief introduction to arithmetics of prime fields. These are very attractiv...
In this thesis, we are interested in the problem of implementing point multiplication by a scalar on...
In this thesis, we are interested in the problem of implementing point multiplication by a scalar on...
Efficient implementation of elliptic curve cryptography can be targeted at 2 levels, specifically on...
Efficient implementation of elliptic curve cryptography can be targeted at 2 levels, specifically on...
Elliptic curve cryptosystem (ECC) is being used nowadays more than ever to fulfill the need for pu...
Abstract-Since the inception of elliptic curve cryptography by Koblitz [1] and Miller [2] for implem...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
We describe new fast algorithms for multiplying points on elliptic curves over finite fields of char...
Abstract. We present a new hardware architecture to compute scalar multiplications in the group of r...
The subject of the thesis at hand is the description of an efficient algorithm for finding an ellipt...
The technology of elliptic curve cryptography is now an important branch in public-key based crypto-...
In most algorithms involving elliptic curves, the most expensive part consists in computing multiple...
Efficient and secure public-key cryptosystems are essential in today’s age of rapidly growing Intern...
In this report we study the problem of counting the number of points on an elliptic curve over a fin...